Naslov
A Residual Control Staggered Solution Scheme for the Phase-Field Modeling of Brittle Fracture

Autori
Seleš, Karlo ; Lesičar, Tomislav ; Tonković, Zdenko ; Sorić, Jurica

Izvornik
Engineering fracture mechanics (0013-7944) 205 (2018), 1; 370-386

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Brittle Fracture ; Phase-field modeling ; Abaqus ; Staggered algorithm ; Stopping criterion

Sažetak
The phase-field approach to fracture modeling circumvents the crack-surface tracking problem by introducing the phase-field variable which separates the broken and unbroken material states through a smooth transition. However, very fine spatial discretization is required to resolve the smooth distribution of the phase- field regulated by a small length scale parameter. Thus, it can be computationally rather expensive when paired with an inefficient solution scheme. This contribution presents a comprehensive discussion on the use of a stopping criterion within the broadly used staggered algorithm. The stopping criterion of the iterative scheme based on the control of the residual norm is introduced and implemented in the finite element software Abaqus. It alleviates the problem of the common single iteration staggered algorithm, which requires fine loading incrementation to produce an accurate solution. The model verification is conducted on several standard benchmark tests and a porous microstructure exhibiting complex crack phenomena. The detailed discussions regarding the proposed implementation’s accuracy and CPU time usage are provided, demonstrating an improvement in computational efficiency with accurate results no longer dependent on the careful selection of loading incrementation.

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo

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